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Simplifying 4x + 3(x + -2) = -5(x + -4) + -6 Reorder the terms: 4x + 3(-2 + x) = -5(x + -4) + -6 4x + (-2 * 3 + x * 3) = -5(x + -4) + -6 4x + (-6 + 3x) = -5(x + -4) + -6 Reorder the terms: -6 + 4x + 3x = -5(x + -4) + -6 Combine like terms: 4x + 3x = 7x -6 + 7x = -5(x + -4) + -6 Reorder the terms: -6 + 7x = -5(-4 + x) + -6 -6 + 7x = (-4 * -5 + x * -5) + -6 -6 + 7x = (20 + -5x) + -6 Reorder the terms: -6 + 7x = 20 + -6 + -5x Combine like terms: 20 + -6 = 14 -6 + 7x = 14 + -5x Solving -6 + 7x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 7x + 5x = 14 + -5x + 5x Combine like terms: 7x + 5x = 12x -6 + 12x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 12x = 14 + 0 -6 + 12x = 14 Add '6' to each side of the equation. -6 + 6 + 12x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 14 + 6 12x = 14 + 6 Combine like terms: 14 + 6 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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